(x^2+6x-35)/x+8

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Solution for (x^2+6x-35)/x+8 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(x^2+6*x-35)/x+8 = 0

(x^2+6*x-35)/x+(8*x)/x = 0

x^2+6*x+8*x-35 = 0

x^2+14*x-35 = 0

x^2+14*x-35 = 0

x^2+14*x-35 = 0

DELTA = 14^2-(-35*1*4)

DELTA = 336

DELTA > 0

x = (336^(1/2)-14)/(1*2) or x = (-336^(1/2)-14)/(1*2)

x = (4*21^(1/2)-14)/2 or x = (-4*21^(1/2)-14)/2

(x-((-4*21^(1/2)-14)/2))*(x-((4*21^(1/2)-14)/2)) = 0

((x-((-4*21^(1/2)-14)/2))*(x-((4*21^(1/2)-14)/2)))/x = 0

((x-((-4*21^(1/2)-14)/2))*(x-((4*21^(1/2)-14)/2)))/x = 0 // * x

(x-((-4*21^(1/2)-14)/2))*(x-((4*21^(1/2)-14)/2)) = 0

( x-((-4*21^(1/2)-14)/2) )

x-((-4*21^(1/2)-14)/2) = 0 // + (-4*21^(1/2)-14)/2

x = (-4*21^(1/2)-14)/2

( x-((4*21^(1/2)-14)/2) )

x-((4*21^(1/2)-14)/2) = 0 // + (4*21^(1/2)-14)/2

x = (4*21^(1/2)-14)/2

x in { (-4*21^(1/2)-14)/2, (4*21^(1/2)-14)/2 }

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